3 years ago

What is the slope of the line below

Mathematics

1 answer:

tatyana61 [14]3 years ago

5 0

Slope is change in y over change in c.

Using the two dots shown:

(5,8) (3,2)

Slope = (2-8)/(3-5) = -6/-2 = 3

The slope is 3

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What is the slope-intercept equation of the line going through (-2,5) and (1,-1)?

jarptica [38.1K]

Answer:

y = -2x+1

Step-by-step explanation:

The slope is found by

m = (y2-y1)/(x2-x1)

= (-1-5)/(1--2)

= -6/(1+2)

= -6/3

= -2

Then we can use point slope form to make an equation

y-y1 = m(x-x1)

y-5 = -2(x--2)

y-5 = -2(x+2)

Distribute

y-5 = -2x -4

Add 5 to each side

y-5+5 = -2x-4+5

y = -2x+1

This is in point slope form

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Sam and Bobby want to know who cycled faster. The table shows the total miles Sam traveled over time. The graph shows the same r

tigry1 [53]

Answer:

<h2>Sam cycled fast, at a rate of 10 miles per hour.</h2>

Step-by-step explanation:

To solve this problem we have to find the slope of each case. The definition of a slope is:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\$

Where $(x_{1};y_{1})$ is the first point, and $(x_{2};y_{2})$ is the second point.

Let's find each slope.

Let's use the points $(2;20)$ and $(5;50)$

Applying the definition of the slope, we have:

$m_{sam} =\frac{50-20}{5-2}=\frac{30 \ miles}{3 \ hour}=10 \ miles/hour$

This relation means that Sam cycled 10 miles per hour.

<h3>Bobby.</h3>

Let's use the points $(2;18)$ and $(6;54)$

$m=\frac{54-18}{6-2}=\frac{36 \ miles}{4 \ hour}=9 \ miles/hour$

Bobby cycled 9 miles per hour.

Therefore, according to these ratios, Sam cycled fast, at a rate of 10 miles per hour.

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